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Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach

Ilievski, Enej ; De Nardis, Jacopo

Phys.Rev.B, 2017-08, Vol.96 (8), Article 081118 [Periódico revisado por pares]

College Park: American Physical Society

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  • Título:
    Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach
  • Autor: Ilievski, Enej ; De Nardis, Jacopo
  • Assuntos: Balances (scales) ; Computational fluid dynamics ; Correlators ; Elastic limit ; Elastic scattering ; Exact solutions ; Fluid flow ; General Physics ; Hydrodynamic equations ; Hydrodynamics ; Mathematical Physics ; Physics
  • É parte de: Phys.Rev.B, 2017-08, Vol.96 (8), Article 081118
  • Descrição: We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consist of the particle content, the dispersion relations, and a universal dressing transformation which accounts for interparticle interactions. We consider quantum integrable models and we focus on the one-dimensional fermionic Hubbard model. By linearizing hydrodynamic equations, we provide exact closed-form expressions for Drude weights, generalized static charge susceptibilities, and charge-current correlators valid on the hydrodynamic scale, represented as integral kernels operating diagonally in the space of mode numbers of thermodynamic excitations. We find that, on hydrodynamic scales, Drude weights manifestly display Onsager reciprocal relations even for generic (i.e., noncanonical) equilibrium states, and establish a generalized detailed balance condition for a general quantum integrable model. We present exact analytic expressions for the general Drude weights in the Hubbard model, and explain how to reconcile different approaches for computing Drude weights from the previous literature.
  • Editor: College Park: American Physical Society
  • Idioma: Inglês
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